Question

Please answer fast!!!

Answer 1

VP = 21

ZP = 7

Explanation:

Given:

VZ = 14

Required:

VP and ZP

Solution:

Since Z is the centroid, therefore:

⅔ of VP = VZ (centroid theorem)

Thus,

⅔(VP) = 14 (substitution)

Multiply both sides by 3

2(VP) = 14*3

2(VP) = 42

Divide both sides by 2

VP = 42/2

VP = 21

✅VZ + ZP = VP

14 + ZP = 21

ZP = 21 - 14 (subtraction property of equality)

ZP = 7